An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. You conduct a survey of 49 students and obtain a sample mean of 5.1 years with a sample standard deviation of 1.2 years. Test the San Jose Mercury News's claim to a significance level of 0.01. Please write your answers to at least four decimal places. a. What will our hypotheses look like? Ho: p = 4.5 HA: P 4.5

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An article in the San Jose Mercury News stated that students in the California state university system take 4.5
years, on average, to finish their undergraduate degrees. You conduct a survey of 49 students and obtain a
sample mean of 5.1 years with a sample standard deviation of 1.2 years. Test the San Jose Mercury News's
claim to a significance level of 0.01.
Please write your answers to at least four decimal places.
a. What will our hypotheses look like?
Ho: p = 4.5
4.5
HA: P
Ο Ho: μ = 4.5
HA: 4.5
b. What is the standard error?
c. What is the test statistic?
d. What is the p-value?
e. Based on this p-value, at a significance level of a = 0.01, would we reject the null hypothesis?
Fail to reject H
Reject H
Transcribed Image Text:An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. You conduct a survey of 49 students and obtain a sample mean of 5.1 years with a sample standard deviation of 1.2 years. Test the San Jose Mercury News's claim to a significance level of 0.01. Please write your answers to at least four decimal places. a. What will our hypotheses look like? Ho: p = 4.5 4.5 HA: P Ο Ho: μ = 4.5 HA: 4.5 b. What is the standard error? c. What is the test statistic? d. What is the p-value? e. Based on this p-value, at a significance level of a = 0.01, would we reject the null hypothesis? Fail to reject H Reject H
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